Pennsylvania Department of Education
Making Cubes
Third graders explore vocabulary associated with three dimensional figures. For this transformations lesson, 3rd graders create two dimensional nets for three dimensional figures. Students become familiar with describing two...
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Geometry and Tony Smith Sculpture
Young scholars respond to Tony Smith's sculpture as art and brainstorm about math concepts inherent in his work. They create a sculpture with polyhedra nets, calculate the cost of covering sculpture in gold, and write an exhibit label...
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What's Your Design?
Sixth grade students: design a stained glass window, submitting their initial plan detailing the measurements of all lines and angles. Seventh grade students: create a scale drawing of their own geometric family of four members.
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A Dreamer's Cloak
Students listen to the teacher read "A Dreamer's Cloak." They examine the difference between squares and circles and create their own cloak by using a paper bag and different shapes.
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Triangle Wars
Learners explore geometry by participating in a class card game. In this triangle instructional activity, students utilize playing cards with shapes on them which they group up and discard, similar to "Old Maid." Learners complete a...
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Ruler and Compass Constructions
Fourth and fifth graders examine how to construct perpendicular lines and to bisect angles using rulers and compasses in this unit of lessons. They design a number of polygons using these methods.
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Pyramids & Prisms: Guler's Formula
Sixth graders compare and contrast two-dimensional shapes to three-dimensional shapes. After watching a demonstration, they make their own shapes using nets printed on paper. To end the lesson, they use the shapes they made and...
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Geo-Mat
Young scholars review plane figures by playing a game that resembles "Twister." They listen to directions to locate a large example of the figure which is placed on the floor.
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What are Fractals?
Middle and high schoolers identify and analyze fractals and research information using the Internet to locate information about them. They look at fractals in relation to nature and other real world situations. Pupils create several...
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Seeing is Believing - Or Is It?
Here is a great science activity. It extends the concept of vision into the area of optical illusions, perspective, and tessellation. This well-designed plan has tons of great activities, utilizes interesting video, and should lead to a...
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Sketching Pyramids
Students sketch and identify properties of pyramids. In this geometry instructional activity, students create nets to identify three dimensional shapes. They sketch cones, prisms and pyramids.
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Surface Area of Cones
Students find the surface area of cones. In this geometry lesson, students calculate the dimensions of each three-dimensional shape and use the correct formula to solve the problem. They relate concepts of cones to the real world.
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Sketching Spheres
Students investigate spheres through sketches. In this geometry lesson plan, students sketch two and three dimensional shapes creating nets. They find and differentiate between the nets for prisms, pyramids, cones, cylinders and spheres.
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Surface Area of Prisms
Learners calculate the surface area of different prisms. In this geometry lesson, students identify the shapes of solids based on the properties of that solid. They calculate the surface area using nets and properties of prisms.
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Lesson Exchange: Polygons (Middle, Mathematics)
Learners discover the relationship between the sides of a polygon and the number of diagonals that can be drawn from one vertex, the number of triangles that those diagonals form, and the sum of the interior angles of that polygon.
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Sort It Out and Match It Up
Learners identify objects that are the same shape and size. They compare and contrast attributes of two-and three-dimensional objects using appropriate vocabulary. Pupils justify an extension of a geometric pattern to explain what was...
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Geometry on a Grand Scalle
Students, in groups, construct different angles and shapes on a large scale using string and chalk.
Shodor Education Foundation
Pythagorean Theorem
Most adults remember learning about the Pythagorean theorem, but they don't all remember how to use it. The emphasis here is on developing an intuitive understanding of how and when to use the theorem. Young mathematicians explore...
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Let the Light Shine Through!
Students display knowledge of line of symmetry by designing a geometric stained glass window pattern.
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SuperShapes, Part 1; "Tri"ing Triangles
An outstanding lesson on triangles awaits your math scholars. Learners focus on the triangle, which is the strongest of all polygons. They see the role that triangles play in the design of buildings, and learn about triangle...
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Bubble and Boyle
Even middle schoolers still enjoy experimenting with bubbles! They execute a series of experiments enabling them to distinguish between convex and concave surfaces, explore the properties of buoyancy, surface tension, and density,...
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Be Sharp and Never Flat
An outstanding lesson on music awaits your young composers! They learn about patterns found in music, the different sections of an orchestra, and see the differences between musicians and a composer. Excellent streamed videos and good...
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Punch Patterns
Fifth graders duplicate patterns, guess pattern results and identify the symmetries created. They are given an instructional handout, 5th graders replicate the patterns demonstrated by folding the paper and punching the appropriate...
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Shadow Casting
Eighth graders use a meter stick that is placed on a horizontal surface and an object is moved along it so that the shadow length can be measured at different distances from the light source. They solve real-world problems involving...